ASVAB Math Knowledge Practice Test 658959 Results

Your Results Global Average
Questions 5 5
Correct 0 2.71
Score 0% 54%

Review

1

Factor y2 + y - 56

53% Answer Correctly
(y - 7)(y - 8)
(y + 7)(y + 8)
(y + 7)(y - 8)
(y - 7)(y + 8)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -56 as well and sum (Inside, Outside) to equal 1. For this problem, those two numbers are -7 and 8. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + y - 56
y2 + (-7 + 8)y + (-7 x 8)
(y - 7)(y + 8)


2

Simplify (y + 9)(y - 3)

62% Answer Correctly
y2 - 12y + 27
y2 - 6y - 27
y2 + 12y + 27
y2 + 6y - 27

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 9)(y - 3)
(y x y) + (y x -3) + (9 x y) + (9 x -3)
y2 - 3y + 9y - 27
y2 + 6y - 27


3

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π d

c = π r2

c = π d2

c = π r


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


4

The dimensions of this cube are height (h) = 5, length (l) = 4, and width (w) = 3. What is the volume?

82% Answer Correctly
36
25
180
60

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 5 x 4 x 3
v = 60


5

The dimensions of this trapezoid are a = 4, b = 2, c = 6, d = 3, and h = 3. What is the area?

50% Answer Correctly
9
7\(\frac{1}{2}\)
24
7

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(2 + 3)(3)
a = ½(5)(3)
a = ½(15) = \( \frac{15}{2} \)
a = 7\(\frac{1}{2}\)